Abstract
Based on the spectrum identified in our earlier work [1], we numerically solve the bootstrap to determine four-point correlation functions of the geometrical connectivities in the Q-state Potts model. Crucial in our approach is the existence of “interchiral conformal blocks”, which arise from the degeneracy of fields with conformal weight hr,1, with r ∈ ℕ*, and are related to the underlying presence of the “interchiral algebra” introduced in [2]. We also find evidence for the existence of “renormalized” recursions, replacing those that follow from the degeneracy of the field \( {\Phi}_{12}^D \) in Liouville theory, and obtain the first few such recursions in closed form. This hints at the possibility of the full analytical determination of correlation functions in this model.
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He, Y., Jacobsen, J.L. & Saleur, H. Geometrical four-point functions in the two-dimensional critical Q-state Potts model: the interchiral conformal bootstrap. J. High Energ. Phys. 2020, 19 (2020). https://doi.org/10.1007/JHEP12(2020)019
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DOI: https://doi.org/10.1007/JHEP12(2020)019